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Finding the Third Proportional to 6,783.75 and 16,480.13

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Solution

The third proportional to 6,783.75 and 16,480.13 is: 40,036.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.75 : 16,480.13 = 16,480.13 : x
  2. Step 2: Convert to fraction form
    6,783.75/16,480.13 = 16,480.13/x
  3. Step 3: Cross multiply
    6,783.75x = 16,480.13 × 16,480.13
  4. Step 4: Simplify right side
    6,783.75x = 271,594,520.02
  5. Step 5: Solve for x
    x = 271,594,520.02/6,783.75
  6. Step 6: Final answer
    x = 40,036.04

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These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.